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a1_math_mathcoder

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{"question": "Calculate ((-4)/(-6))/((230/10)/(-276)).", "answer": "-8"}
Calculate ((-4)/(-6))/((230/10)/(-276)).
-8
{"question": "Let w be 7 - 6 - 14760/(-4). Let h = -2398 + w. Is h a composite number?", "answer": "True"}
Let w be 7 - 6 - 14760/(-4). Let h = -2398 + w. Is h a composite number?
True
{"question": "Suppose -5*m - 2*u + 15 = -146, 5*m = -5*u + 155. Let l = 34 - 16. Let d = m - l. Does 5 divide d?", "answer": "True"}
Suppose -5*m - 2*u + 15 = -146, 5*m = -5*u + 155. Let l = 34 - 16. Let d = m - l. Does 5 divide d?
True
{"question": "Let y(v) = -v**3 - 50*v**2 + 461*v + 18. What is y(8)?", "answer": "-6"}
Let y(v) = -v**3 - 50*v**2 + 461*v + 18. What is y(8)?
-6
{"question": "Simplify 1 + 5*(3*-2*(sqrt(396) + -1)*-3*-3)**2 + -3.", "answer": "-174960*sqrt(11) + 5788258"}
Simplify 1 + 5*(3*-2*(sqrt(396) + -1)*-3*-3)**2 + -3.
-174960*sqrt(11) + 5788258
{"question": "Let h(v) = -2*v**2. Let k(q) be the second derivative of 4*q**3 + 12*q**2 - 509*q. Calculate h(k(m)).", "answer": "-1152*m**2 - 2304*m - 1152"}
Let h(v) = -2*v**2. Let k(q) be the second derivative of 4*q**3 + 12*q**2 - 509*q. Calculate h(k(m)).
-1152*m**2 - 2304*m - 1152
{"question": "Which is the nearest to -2/5? (a) -12 (b) 4 (c) 1.3", "answer": "c"}
Which is the nearest to -2/5? (a) -12 (b) 4 (c) 1.3
c
{"question": "Suppose 9*i - 55 - 593 = 0. Suppose -5*h - 565 = -5*w - 0*h, -5*w - h + 535 = 0. What is the highest common factor of w and i?", "answer": "36"}
Suppose 9*i - 55 - 593 = 0. Suppose -5*h - 565 = -5*w - 0*h, -5*w - h + 535 = 0. What is the highest common factor of w and i?
36
{"question": "What are the prime factors of 21671?", "answer": "13, 1667"}
What are the prime factors of 21671?
13, 1667
{"question": "What is prob of sequence dddw when four letters picked without replacement from {d: 16, r: 1, w: 1}?", "answer": "7/153"}
What is prob of sequence dddw when four letters picked without replacement from {d: 16, r: 1, w: 1}?
7/153
{"question": "-4 * 120", "answer": "-480"}
-4 * 120
-480
{"question": "Simplify (k**(-8)*k/k**(2/19))/(k*((k/k**(1/4))/k*k)/k)**(2/145) assuming k is positive.", "answer": "k**(-39207/5510)"}
Simplify (k**(-8)*k/k**(2/19))/(k*((k/k**(1/4))/k*k)/k)**(2/145) assuming k is positive.
k**(-39207/5510)
{"question": "Let w be (3/(-6))/((-42)/41244). Which is smaller: w or 493?", "answer": "w"}
Let w be (3/(-6))/((-42)/41244). Which is smaller: w or 493?
w
{"question": "Let d = -6.037 + -10665.963. Let r = -10648.052 - d. Let f = 24 - r. What is f rounded to 2 decimal places?", "answer": "0.05"}
Let d = -6.037 + -10665.963. Let r = -10648.052 - d. Let f = 24 - r. What is f rounded to 2 decimal places?
0.05
{"question": "Let x = 402 + -362. Suppose h - 5*k = -h - 11, -5*h - k + x = 0. Sort -5, h, -1, 1 in descending order.", "answer": "h, 1, -1, -5"}
Let x = 402 + -362. Suppose h - 5*k = -h - 11, -5*h - k + x = 0. Sort -5, h, -1, 1 in descending order.
h, 1, -1, -5
{"question": "What is the hundreds digit of 107472?", "answer": "4"}
What is the hundreds digit of 107472?
4
{"question": "Suppose -9*b + 7*b + 4 = 0. Suppose v + 2*j - 35 - 7 = 0, b*v = 5*j + 111. Is 12 a factor of v?", "answer": "True"}
Suppose -9*b + 7*b + 4 = 0. Suppose v + 2*j - 35 - 7 = 0, b*v = 5*j + 111. Is 12 a factor of v?
True
{"question": "Let n be 19 - 3*(-1 - 0). Suppose -g = -5*v + n, 0*v = 2*v - 2*g - 12. Suppose v*c + 12 = 0, 0 = 4*x - 5*x + c + 6. Solve 0 = 2*y + x - 13 for y.", "answer": "5"}
Let n be 19 - 3*(-1 - 0). Suppose -g = -5*v + n, 0*v = 2*v - 2*g - 12. Suppose v*c + 12 = 0, 0 = 4*x - 5*x + c + 6. Solve 0 = 2*y + x - 13 for y.
5
{"question": "Let a = -254/737 + -87203/44220. Find the common denominator of 149/72 and a.", "answer": "360"}
Let a = -254/737 + -87203/44220. Find the common denominator of 149/72 and a.
360
{"question": "Suppose 0 = 5*h - 2*h + 15, -t - 4*h = -29. Suppose 3*o + 196 = 7*o - 5*d, -o + t = 5*d. Let a = o + -18. What is the tens digit of a?", "answer": "3"}
Suppose 0 = 5*h - 2*h + 15, -t - 4*h = -29. Suppose 3*o + 196 = 7*o - 5*d, -o + t = 5*d. Let a = o + -18. What is the tens digit of a?
3
{"question": "Calculate the smallest common multiple of 3120 and 1410.", "answer": "146640"}
Calculate the smallest common multiple of 3120 and 1410.
146640
{"question": "Let w = 1 + 1. Suppose -w*g - 3*o + 6*o = -92, -g + 4*o + 51 = 0. What is the remainder when g is divided by 15?", "answer": "13"}
Let w = 1 + 1. Suppose -w*g - 3*o + 6*o = -92, -g + 4*o + 51 = 0. What is the remainder when g is divided by 15?
13
{"question": "Let v be 12/1*(88/(-528) + (-34)/(-24)). Which is the closest to 0? (a) -2 (b) v (c) -12/5", "answer": "a"}
Let v be 12/1*(88/(-528) + (-34)/(-24)). Which is the closest to 0? (a) -2 (b) v (c) -12/5
a
{"question": "Collect the terms in -5*p**2 - 4*p**2 + 8*p**2 + 3*p**2.", "answer": "2*p**2"}
Collect the terms in -5*p**2 - 4*p**2 + 8*p**2 + 3*p**2.
2*p**2
{"question": "Round 69060.1 to the nearest 100.", "answer": "69100"}
Round 69060.1 to the nearest 100.
69100
{"question": "-3904 divided by 32", "answer": "-122"}
-3904 divided by 32
-122
{"question": "Let l = 5 - -22. List the prime factors of l.", "answer": "3"}
Let l = 5 - -22. List the prime factors of l.
3
{"question": "What is the millions digit of 2515064268?", "answer": "5"}
What is the millions digit of 2515064268?
5
{"question": "What is the s'th term of 1024, 2041, 3058, 4075?", "answer": "1017*s + 7"}
What is the s'th term of 1024, 2041, 3058, 4075?
1017*s + 7
{"question": "Solve 0 = 2*y - j - 7, -2*j - 39 + 21 = -5*y for y.", "answer": "4"}
Solve 0 = 2*y - j - 7, -2*j - 39 + 21 = -5*y for y.
4
{"question": "Is -0.1 equal to 4/2457?", "answer": "False"}
Is -0.1 equal to 4/2457?
False
{"question": "Let p = -0.13 - 6.17. Let g = p - -1.3. Sort -0.5, -1/7, g.", "answer": "g, -0.5, -1/7"}
Let p = -0.13 - 6.17. Let g = p - -1.3. Sort -0.5, -1/7, g.
g, -0.5, -1/7
{"question": "Let p(z) = z**2 + z. Suppose -2*b - 12 = 2*b. Let i be p(b). Suppose -i*a = -a - 90. Is a a multiple of 12?", "answer": "False"}
Let p(z) = z**2 + z. Suppose -2*b - 12 = 2*b. Let i be p(b). Suppose -i*a = -a - 90. Is a a multiple of 12?
False
{"question": "Let s(h) = 2*h + 1287. Let q(i) = -i - 920. Give s(q(u)).", "answer": "-2*u - 553"}
Let s(h) = 2*h + 1287. Let q(i) = -i - 920. Give s(q(u)).
-2*u - 553
{"question": "Let s be (-192)/(-18)*(-18)/(-8). Differentiate -12*c**4 - 24*c**3 - 4 + s*c**3 wrt c.", "answer": "-48*c**3"}
Let s be (-192)/(-18)*(-18)/(-8). Differentiate -12*c**4 - 24*c**3 - 4 + s*c**3 wrt c.
-48*c**3
{"question": "Find the common denominator of (2/(-3))/((-828)/(-322)) and 77/36.", "answer": "108"}
Find the common denominator of (2/(-3))/((-828)/(-322)) and 77/36.
108
{"question": "Let g(a) be the second derivative of a**8/504 - 2*a**7/315 + a**5/45 - a**4/36 + a**2 - 3*a. Let c(o) be the first derivative of g(o). Let c(w) = 0. What is w?", "answer": "-1, 0, 1"}
Let g(a) be the second derivative of a**8/504 - 2*a**7/315 + a**5/45 - a**4/36 + a**2 - 3*a. Let c(o) be the first derivative of g(o). Let c(w) = 0. What is w?
-1, 0, 1
{"question": "Let p = -2.86 - -0.06. Let v = 3 + p. Which is the second biggest value? (a) -4 (b) v (c) 0", "answer": "c"}
Let p = -2.86 - -0.06. Let v = 3 + p. Which is the second biggest value? (a) -4 (b) v (c) 0
c
{"question": "What is prob of picking 1 a, 1 s, and 2 k when four letters picked without replacement from akyyayyysskakjs?", "answer": "9/455"}
What is prob of picking 1 a, 1 s, and 2 k when four letters picked without replacement from akyyayyysskakjs?
9/455
{"question": "Which is smaller: 1 or -65?", "answer": "-65"}
Which is smaller: 1 or -65?
-65
{"question": "Let m be (1 + -1)/(-4 - 0). Suppose 4*g - v + m*v - 8 = 0, -3*v + 18 = 2*g. Solve -4*t - g = 1 for t.", "answer": "-1"}
Let m be (1 + -1)/(-4 - 0). Suppose 4*g - v + m*v - 8 = 0, -3*v + 18 = 2*g. Solve -4*t - g = 1 for t.
-1
{"question": "What is the w'th term of -1851, -3700, -5549, -7398?", "answer": "-1849*w - 2"}
What is the w'th term of -1851, -3700, -5549, -7398?
-1849*w - 2
{"question": "Which is smaller: 2836/29 or 99?", "answer": "2836/29"}
Which is smaller: 2836/29 or 99?
2836/29
{"question": "Is -4666 at most -1/23?", "answer": "True"}
Is -4666 at most -1/23?
True
{"question": "Expand (3 - 16*m - 3)*(-2 - 1 - 3)*(6 + 0 + 3*m - 4*m).", "answer": "-96*m**2 + 576*m"}
Expand (3 - 16*m - 3)*(-2 - 1 - 3)*(6 + 0 + 3*m - 4*m).
-96*m**2 + 576*m
{"question": "Calculate -0.007798*364.", "answer": "-2.838472"}
Calculate -0.007798*364.
-2.838472
{"question": "What is 9626.687um in meters?", "answer": "0.009626687"}
What is 9626.687um in meters?
0.009626687
{"question": "Solve -12*m**4 - 1011*m**3 - 25641*m**2 - 176601*m - 151959 = 0 for m.", "answer": "-37, -37/4, -1"}
Solve -12*m**4 - 1011*m**3 - 25641*m**2 - 176601*m - 151959 = 0 for m.
-37, -37/4, -1
{"question": "Simplify sqrt(12)/sqrt(4)*5 + 4 - (sqrt(9)/sqrt(3) + 4)*-1.", "answer": "8 + 6*sqrt(3)"}
Simplify sqrt(12)/sqrt(4)*5 + 4 - (sqrt(9)/sqrt(3) + 4)*-1.
8 + 6*sqrt(3)
{"question": "Let p = 16.6 - 15. Let s = p + -0.9. Let z = 2.7 - s. What is the nearest to 0.1 in z, -5, 1?", "answer": "1"}
Let p = 16.6 - 15. Let s = p + -0.9. Let z = 2.7 - s. What is the nearest to 0.1 in z, -5, 1?
1
{"question": "What is 1848 to the power of 1/10, to the nearest integer?", "answer": "2"}
What is 1848 to the power of 1/10, to the nearest integer?
2
{"question": "Solve -1673*s + 7472 - 67281 - 33879 = 0 for s.", "answer": "-56"}
Solve -1673*s + 7472 - 67281 - 33879 = 0 for s.
-56
{"question": "Solve -2753 + 3068 = 355*k - 10713 - 8142 for k.", "answer": "54"}
Solve -2753 + 3068 = 355*k - 10713 - 8142 for k.
54
{"question": "Let l(x) = 31*x - 1 + 3*x**2 - 25*x + 3 - 8. Let j(f) = 3*f**2 + 5*f - 5. What is -6*j(m) + 5*l(m)?", "answer": "-3*m**2"}
Let l(x) = 31*x - 1 + 3*x**2 - 25*x + 3 - 8. Let j(f) = 3*f**2 + 5*f - 5. What is -6*j(m) + 5*l(m)?
-3*m**2
{"question": "Calculate 10549/3836*6/11*4/246.", "answer": "1/41"}
Calculate 10549/3836*6/11*4/246.
1/41
{"question": "Suppose 45*y + 5*y - 70550 = -0*y. Calculate the greatest common factor of y and 119.", "answer": "17"}
Suppose 45*y + 5*y - 70550 = -0*y. Calculate the greatest common factor of y and 119.
17
{"question": "Let u(j) = j**3 - 35*j**2 + 285*j + 25. Determine u(22).", "answer": "3"}
Let u(j) = j**3 - 35*j**2 + 285*j + 25. Determine u(22).
3
{"question": "How many millilitres are there in seven eighths of a litre?", "answer": "875"}
How many millilitres are there in seven eighths of a litre?
875
{"question": "Solve 43 + 360 + 477 = -55*z for z.", "answer": "-16"}
Solve 43 + 360 + 477 = -55*z for z.
-16
{"question": "Convert -110001001 (base 2) to base 6.", "answer": "-1453"}
Convert -110001001 (base 2) to base 6.
-1453
{"question": "Calculate the highest common divisor of 119 and 7616.", "answer": "119"}
Calculate the highest common divisor of 119 and 7616.
119
{"question": "Is -1365 at most as big as -1365?", "answer": "True"}
Is -1365 at most as big as -1365?
True
{"question": "Let k(r) = r**3 + 7*r**2 - 4*r + 2. Let o(s) = s**3 + s**2. Let g(v) = k(v) - 3*o(v). Let f be g(2). Let a(x) = -x**3 - 6*x**2 + 2*x + 3. Determine a(f).", "answer": "-9"}
Let k(r) = r**3 + 7*r**2 - 4*r + 2. Let o(s) = s**3 + s**2. Let g(v) = k(v) - 3*o(v). Let f be g(2). Let a(x) = -x**3 - 6*x**2 + 2*x + 3. Determine a(f).
-9
{"question": "Simplify (w**(-1))**37*(w**(-2/7)*w)/w**6 assuming w is positive.", "answer": "w**(-296/7)"}
Simplify (w**(-1))**37*(w**(-2/7)*w)/w**6 assuming w is positive.
w**(-296/7)
{"question": "Suppose -2 = 4*j - 3*j. Let r = 0 - j. Factor -r*y**3 + 4*y + 2*y - 2*y**2 - 2*y.", "answer": "-2*y*(y - 1)*(y + 2)"}
Suppose -2 = 4*j - 3*j. Let r = 0 - j. Factor -r*y**3 + 4*y + 2*y - 2*y**2 - 2*y.
-2*y*(y - 1)*(y + 2)
{"question": "Is 2387269457 composite?", "answer": "True"}
Is 2387269457 composite?
True
{"question": "What are the prime factors of 125253730?", "answer": "2, 5, 7, 173, 10343"}
What are the prime factors of 125253730?
2, 5, 7, 173, 10343
{"question": "Let f(n) be the first derivative of -1/2*n**2 + 5 - 1/2*n**4 + n**3 + 0*n. Factor f(c).", "answer": "-c*(c - 1)*(2*c - 1)"}
Let f(n) be the first derivative of -1/2*n**2 + 5 - 1/2*n**4 + n**3 + 0*n. Factor f(c).
-c*(c - 1)*(2*c - 1)
{"question": "Let g = -48.85 - -47. Let k = g + 1.757. Round k to 2 decimal places.", "answer": "-0.09"}
Let g = -48.85 - -47. Let k = g + 1.757. Round k to 2 decimal places.
-0.09
{"question": "Solve 729*a + 8706 = -42 for a.", "answer": "-12"}
Solve 729*a + 8706 = -42 for a.
-12
{"question": "Solve 0 = -4*y + 5*f + 115, 0 = 4075*f - 4076*f - 19 for y.", "answer": "5"}
Solve 0 = -4*y + 5*f + 115, 0 = 4075*f - 4076*f - 19 for y.
5
{"question": "What is next in -545, -4130, -13825, -32684, -63761, -110110?", "answer": "-174785"}
What is next in -545, -4130, -13825, -32684, -63761, -110110?
-174785
{"question": "Let r(c) be the second derivative of c**4/4 - 26*c**2 - 538*c. Let j(l) = -7*l**2. What is j(r(d))?", "answer": "-63*d**4 + 2184*d**2 - 18928"}
Let r(c) be the second derivative of c**4/4 - 26*c**2 - 538*c. Let j(l) = -7*l**2. What is j(r(d))?
-63*d**4 + 2184*d**2 - 18928
{"question": "Are 0 and 91/3121 nonequal?", "answer": "True"}
Are 0 and 91/3121 nonequal?
True
{"question": "Round -0.000056 to 4 dps.", "answer": "-0.0001"}
Round -0.000056 to 4 dps.
-0.0001
{"question": "Let i be (63/(-168) + 0)*2/(-6). Suppose i*j**2 + 1/8*j - 1/4 = 0. Calculate j.", "answer": "-2, 1"}
Let i be (63/(-168) + 0)*2/(-6). Suppose i*j**2 + 1/8*j - 1/4 = 0. Calculate j.
-2, 1
{"question": "What is thirteen fifths of a kilogram in grams?", "answer": "2600"}
What is thirteen fifths of a kilogram in grams?
2600
{"question": "Let n(u) = 10 - 10 - 13*u. Let x(r) = 3*r**2. What is n(x(w))?", "answer": "-39*w**2"}
Let n(u) = 10 - 10 - 13*u. Let x(r) = 3*r**2. What is n(x(w))?
-39*w**2
{"question": "Which is the second biggest value? (a) 0.2 (b) 1/7 (c) 187.1 (d) -2/31", "answer": "a"}
Which is the second biggest value? (a) 0.2 (b) 1/7 (c) 187.1 (d) -2/31
a
{"question": "Suppose -8 + 4 = 4*x. Let q be (-253)/(-506) - 5/(-2). Sort q, x, 0 in increasing order.", "answer": "x, 0, q"}
Suppose -8 + 4 = 4*x. Let q be (-253)/(-506) - 5/(-2). Sort q, x, 0 in increasing order.
x, 0, q
{"question": "What is -30.07 rounded to the nearest one hundred?", "answer": "0"}
What is -30.07 rounded to the nearest one hundred?
0
{"question": "Let r be -916*((-11)/2 + 120/24). Suppose 2*o + 3*q = o + 231, -2*o + r = 2*q. List the prime factors of o.", "answer": "2, 3, 19"}
Let r be -916*((-11)/2 + 120/24). Suppose 2*o + 3*q = o + 231, -2*o + r = 2*q. List the prime factors of o.
2, 3, 19
{"question": "Round 114900 to the nearest 1000.", "answer": "115000"}
Round 114900 to the nearest 1000.
115000
{"question": "Let o = 6 + -3. Suppose -1 + o = -2*x. Let n be -2 + 1 + (-21)/x. Solve m - 4*k - n = 5*m, -3*m = -2*k for m.", "answer": "-2"}
Let o = 6 + -3. Suppose -1 + o = -2*x. Let n be -2 + 1 + (-21)/x. Solve m - 4*k - n = 5*m, -3*m = -2*k for m.
-2
{"question": "What is 0.06355 rounded to 2 decimal places?", "answer": "0.06"}
What is 0.06355 rounded to 2 decimal places?
0.06
{"question": "Let t(o) = -3*o - 2*o + 4 - o**2 + 0. Let d be t(-5). Suppose 4 = -5*x - d*q, -q = 4*q + 5. Solve 2*c - i + 3 + 3 = 0, 2*c + 3*i - 2 = x for c.", "answer": "-2"}
Let t(o) = -3*o - 2*o + 4 - o**2 + 0. Let d be t(-5). Suppose 4 = -5*x - d*q, -q = 4*q + 5. Solve 2*c - i + 3 + 3 = 0, 2*c + 3*i - 2 = x for c.
-2
{"question": "Is (16 - 24) + (1 - 14877646/(-7)) a prime number?", "answer": "False"}
Is (16 - 24) + (1 - 14877646/(-7)) a prime number?
False
{"question": "Let v(g) = g - 1. Let b(h) = 2*h**2 - 6*h + 7. Suppose -l + 281 = 5*w, 7*l - 5*w - 1049 = 3*l. Let m = l + -260. What is m*v(r) + b(r)?", "answer": "2*r**2 + 1"}
Let v(g) = g - 1. Let b(h) = 2*h**2 - 6*h + 7. Suppose -l + 281 = 5*w, 7*l - 5*w - 1049 = 3*l. Let m = l + -260. What is m*v(r) + b(r)?
2*r**2 + 1
{"question": "What is -2280 divided by -876?", "answer": "190/73"}
What is -2280 divided by -876?
190/73
{"question": "What is next in 1610, 1625, 1650, 1685, 1730, 1785?", "answer": "1850"}
What is next in 1610, 1625, 1650, 1685, 1730, 1785?
1850
{"question": "Simplify (b**4*b*(b**(-11)/b)/b)**41 assuming b is positive.", "answer": "b**(-328)"}
Simplify (b**4*b*(b**(-11)/b)/b)**41 assuming b is positive.
b**(-328)
{"question": "Sort 3, 17, 4 in ascending order.", "answer": "3, 4, 17"}
Sort 3, 17, 4 in ascending order.
3, 4, 17
{"question": "Solve -v = -5*x - 15, -x = -4*x - 6 for v.", "answer": "5"}
Solve -v = -5*x - 15, -x = -4*x - 6 for v.
5
{"question": "What is the value of (3/54)/((-4)/(-12))?", "answer": "1/6"}
What is the value of (3/54)/((-4)/(-12))?
1/6
{"question": "Simplify u*u*u**(-11)*u*u*u**(3/5)*(u*u*u**(2/9))/(u*u*u**(-1)) assuming u is positive.", "answer": "u**(-233/45)"}
Simplify u*u*u**(-11)*u*u*u**(3/5)*(u*u*u**(2/9))/(u*u*u**(-1)) assuming u is positive.
u**(-233/45)
{"question": "Let f = -711309 - -1984198. Is f composite?", "answer": "True"}
Let f = -711309 - -1984198. Is f composite?
True
{"question": "Simplify (c**(-2/9)*c**8)**(-22)/(((c/((c*c**6)/c)*c)/c)/(c*c**(-2/13))*c**5*c/(c*c*c**(-3/8))) assuming c is positive.", "answer": "c**(-158783/936)"}
Simplify (c**(-2/9)*c**8)**(-22)/(((c/((c*c**6)/c)*c)/c)/(c*c**(-2/13))*c**5*c/(c*c*c**(-3/8))) assuming c is positive.
c**(-158783/936)
{"question": "Let d = -2 - -7. Solve 2*n - 3*h - 14 = 0, -6*n - d*h + 2 = -3*n for n.", "answer": "4"}
Let d = -2 - -7. Solve 2*n - 3*h - 14 = 0, -6*n - d*h + 2 = -3*n for n.
4
{"question": "What is the thousands digit of 9801331?", "answer": "1"}
What is the thousands digit of 9801331?
1
{"question": "Let i = 9 - 9.3. What is the third smallest value in i, -4, 12?", "answer": "12"}
Let i = 9 - 9.3. What is the third smallest value in i, -4, 12?
12